Carlos Videla scored on a free kick just 93 seconds into overtime to give the Thunderducks the title. They shut down Ulster star Diego Mayahga, who entered the final four with 46 goals.
Ulster was denied its first national championship since its back-to-back titles in 1977 and 1978 under current coach George Vizvary.
Richland entered the tournament as the bottom seed but ousted Union (N.J.) County College, 1-0, in the semifinals. Ulster beat host Herkimer County Community College, 2-0, in the other semifinal.
Union won the third-place game on penalty kicks after its game with Herkimer ended in a 2-2 tie.
Richland-Ulster report (1) from Kingston Daily Freeman
Richland-Ulster report (2) from Kingston Daily Freeman
Ulster-Herkimer from Herkimer Evening Telegram
Ulster-Herkimer from Kingston Daily Freeman